Tongxin xuebao (Jan 2010)
MDR codes and self-dual codes on Cartesian product codes
Abstract
A Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2, , C scodes overZ r1 × Z r2 × × Zrs were studied. Furthermore, it can include that Cartesian product code of MDS codes is MDR code, and so do the self -dual.
